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Finding the Fourth Proportional to 4,191.94, 5,784.87 and 2,328.94

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Solution

The fourth proportional to 4,191.94, 5,784.87 and 2,328.94 is: 3,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.94 : 5,784.87 = 2,328.94 : x
  2. Step 2: Convert to fraction form
    4,191.94/5,784.87 = 2,328.94/x
  3. Step 3: Cross multiply
    4,191.94x = 5,784.87 × 2,328.94
  4. Step 4: Simplify right side
    4,191.94x = 13,472,609.41
  5. Step 5: Solve for x
    x = 13,472,609.41/4,191.94
  6. Step 6: Final answer
    x = 3,213.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.